Application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate: A study using MUSCL scheme
This study presents a comprehensive mathematical framework that applies fluid dynamics to model the spatial spread of infectious diseases with low mortality rates. By treating susceptible, infected, and treated population densities as fluids governed by a system of partial differential equations, th...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-12-01
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| Series: | Computational and Mathematical Biophysics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/cmb-2024-0016 |
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| _version_ | 1832570423052599296 |
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| author | Nnaji Daniel Ugochukwu Kiogora Phineas Roy Onah Ifeanyi Sunday Mung’atu Joseph Aguegboh Nnaemeka Stanley |
| author_facet | Nnaji Daniel Ugochukwu Kiogora Phineas Roy Onah Ifeanyi Sunday Mung’atu Joseph Aguegboh Nnaemeka Stanley |
| author_sort | Nnaji Daniel Ugochukwu |
| collection | DOAJ |
| description | This study presents a comprehensive mathematical framework that applies fluid dynamics to model the spatial spread of infectious diseases with low mortality rates. By treating susceptible, infected, and treated population densities as fluids governed by a system of partial differential equations, the study simulates the epidemic’s spatial dynamics. The Monotone Upwind Scheme for Conservation Laws is employed to enhance the accuracy of numerical solutions, providing a high-resolution approach for capturing disease transmission patterns. The model’s analogy between fluid flow and epidemic propagation reveals critical insights into how diseases disperse geographically, influenced by factors like human mobility and environmental conditions. Numerical simulations show that the model can predict the evolution of infection and treatment population densities over time, offering practical applications for public health strategies. Sensitivity analysis of the reproduction number highlights the influence of key epidemiological parameters, guiding the development of more efficient disease control measures. This work contributes a novel perspective to spatial epidemiology by integrating principles of fluid dynamics, aiding in the design of targeted interventions for controlling disease outbreaks. |
| format | Article |
| id | doaj-art-433ba69646e9415783f35dfec81151c7 |
| institution | Kabale University |
| issn | 2544-7297 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Computational and Mathematical Biophysics |
| spelling | doaj-art-433ba69646e9415783f35dfec81151c72025-02-02T15:45:06ZengDe GruyterComputational and Mathematical Biophysics2544-72972024-12-01121084703205710.1515/cmb-2024-0016Application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate: A study using MUSCL schemeNnaji Daniel Ugochukwu0Kiogora Phineas Roy1Onah Ifeanyi Sunday2Mung’atu Joseph3Aguegboh Nnaemeka Stanley4Institute for Basic Science, Technology and Innovation (PAUSTI), Pan African University, 62000-00200 Nairobi, KenyaDepartment of Pure and Applied Mathematics, Jomo Kenyatta University of Agriculture and Technology, 62000-00200 Nairobi, KenyaSchool of Mathematics and Statistics, University of Glasgow, Glasgow, G12 8QQ, United KingdomDepartment of Statistics and Actuarial Science, Jomo Kenyatta University of Agriculture and Technology, 62000-00200 Nairobi, KenyaInstitute for Basic Science, Technology and Innovation (PAUSTI), Pan African University, 62000-00200 Nairobi, KenyaThis study presents a comprehensive mathematical framework that applies fluid dynamics to model the spatial spread of infectious diseases with low mortality rates. By treating susceptible, infected, and treated population densities as fluids governed by a system of partial differential equations, the study simulates the epidemic’s spatial dynamics. The Monotone Upwind Scheme for Conservation Laws is employed to enhance the accuracy of numerical solutions, providing a high-resolution approach for capturing disease transmission patterns. The model’s analogy between fluid flow and epidemic propagation reveals critical insights into how diseases disperse geographically, influenced by factors like human mobility and environmental conditions. Numerical simulations show that the model can predict the evolution of infection and treatment population densities over time, offering practical applications for public health strategies. Sensitivity analysis of the reproduction number highlights the influence of key epidemiological parameters, guiding the development of more efficient disease control measures. This work contributes a novel perspective to spatial epidemiology by integrating principles of fluid dynamics, aiding in the design of targeted interventions for controlling disease outbreaks.https://doi.org/10.1515/cmb-2024-0016spatial modelepidemic flowmuscl scheme92d3035q3576s05 |
| spellingShingle | Nnaji Daniel Ugochukwu Kiogora Phineas Roy Onah Ifeanyi Sunday Mung’atu Joseph Aguegboh Nnaemeka Stanley Application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate: A study using MUSCL scheme Computational and Mathematical Biophysics spatial model epidemic flow muscl scheme 92d30 35q35 76s05 |
| title | Application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate: A study using MUSCL scheme |
| title_full | Application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate: A study using MUSCL scheme |
| title_fullStr | Application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate: A study using MUSCL scheme |
| title_full_unstemmed | Application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate: A study using MUSCL scheme |
| title_short | Application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate: A study using MUSCL scheme |
| title_sort | application of fluid dynamics in modeling the spatial spread of infectious diseases with low mortality rate a study using muscl scheme |
| topic | spatial model epidemic flow muscl scheme 92d30 35q35 76s05 |
| url | https://doi.org/10.1515/cmb-2024-0016 |
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